From: &noreply@axelvogt.de   
      
   On 01.12.2013 00:51, Herman Rubin wrote:   
   > On 2013-11-30, Nasser M. Abbasi  wrote:   
   >   
   >>> Simplifying the expression, one gets the square root of   
   >   
   >>> (1+40*t)*(1+4*t^2+81*t^4); ia this integrable in elementary terms?   
   ...   
   >   
   >> No evaluation. Same with Maple. can't do it. Neither can Integrate[]   
   >   
   > Elliptic functions handle square roots of polynomials up to degree 4.   
   > This is a fifth degree polynomial, and I do not see any substitution   
   > which can get the degree down to 4.   
   >   
   > This is going beyond elementary functions; I am not surprised   
   > that a closed form has not turned up.   
   >   
      
   One can try a more "simple" case, q:=(t^4+1), p:=(t+r)*q   
   Then Maple finds Int( p, t ) for r=0 and fails for r=1   
      
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